How to solve quadratic equation on fx-83gt plus

The calculator cannot do symbolic algebra. If equation is aX^2+bX+c=0, write it in the form a(X^2+(b/a)X+(c/a))=0 and solve the quadratic equation X^2+(b/a)X+(c/a)=0. Get the approximate roots X1, and X2 (if they exist) and write your original equation in the for
a(X-X1)(X-X2)=0
Your quadratic polynomial is factored as a(X-X1)(X-X2)

You can do it the same way people did it before calculators were invented. Just use the quadratic formula: http://en.wikipedia.org/wiki/Quadratic_formula. Some sophisticated calculators have generalized equation solvers that can handle equations much more complicated than the quadratic, but the fx-82 isn't one of them.

You can do it the same way people did it before calculators were invented. Just use the quadratic formula: http://en.wikipedia.org/wiki/Quadratic_formula, and let the calculator handle the arithmetic. Some sophisticated calculators have generalized equation solvers that can handle equations much more complicated than the quadratic, but the fx-82 isn't one of them.

See if it has an equation mode, and select quadratic equations. If it has a SOLVE feature, enter equation, provide a guess and solve.

Your scientific calculator is unable to solve complex equation with complex coefficients. You should try to solve by hand directly using the quadratic formula or by factoring the polynomial in z
failing that, another way would be to set z=x+iy, substitute this for z, carry out the algebra and try to separate real and imaginary parts. But your two equations will constitute a system of two quadratic equations. I am not aware of any general method to solve coupled nonlinear equations.
Good luck.

You cannot solve the quadratic equation with this calculator. It does not have a solve program.

However if you wnat to create a table of values for a function (any type of function that uses the basic scientific function keys ) you use the TABLE Computational Mode.

You press MODE
You select TABLE
You enter a mathematical expression 3X^2-.33X+ 15
You generate the table of values.

Press MODE 5 to bring up the equation types. Press 3 for the quadratic. Enter the three coefficients. Press = to see the first root. If the display shows x1 then press down to see the other other root. If the display only shows x then that's a double root. Given the two roots x1 and x2, the factors of the quadratic are (x-x1) and (x-x2).

Refer to "Equation Calculations" on page E-55 of the manual and examples #094 and #095 in the appendix for examples of solving quadratic equations. If the you need the manual and/or appendix, you can download them from
http://support.casio.com/manualfile.php?rgn=1&cid=004001004

It depends on the degree of the polynomial.
If polynomial is od degree 2 or 3 you can use the EQN mode (the equation MODE) by pressing [MODE][5:EQN] to enter Equation mode then press [3] for quadratic polynomial or [4] for a cubic one.
You will then be prompted for the various coefficients. The canonical form of these polynomials is aX^2 plus bX plus c= 0, and aX^3 plus bX^2 plus cX plus d=0.

If polynomial is of degree higher than 3, or for a general non-linear equation you must use the Solve( feature. See example #017 on page 6 of the appendix to the manual.

Hello,
The Casio FX-300ES does not handle symbolic algebra. So it cannot factor a general polynomial expression. The methods can be found in any book on Algebra.
However if you are interested in approximate factorization of quadratic and cubic polynomials, you can use the calculator to do that. It can solve aX^3 +bX^2+cX+d =0 and the quadratic equations.

If you want to factor a cubic polynomial P3(X) = aX^3+bX^2+cX+d , you write the corresponding cubic equation as aX^3+bX^2+cX=d =0 , then you divide all terms of the equation by a to obtain

X^3+(b/a)X^2+(c/a)X+(d/a)=0.

You use the calculator to solve (approximately) this equation.
Suppose you find the 3 roots X1,X2,and X3. Then the polynomial X^3+(b/a)X^2+(c/a)X+(d/a) can be cast in the factored form (X-X1)(X-X2)(X-X3) and the original polynomial P3(X) can be written as

P3(X) = a*(X-X1)(X-X2)(X-X3)

You can handle the quadratic polynomial the same way.

P2(X) =a*(X-X1)(X-X2) where X1, X2 are the two real roots

Hope it helps.

Hello,
In your manual, Appendix Program Library, (Page A1) you have the listing of the problem to solve the quadratic equation. Type it in your calculator and execute it.


Hope it helps.